{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "kernelspec": {
      "display_name": "Python 3",
      "language": "python",
      "name": "python3"
    },
    "language_info": {
      "codemirror_mode": {
        "name": "ipython",
        "version": 3
      },
      "file_extension": ".py",
      "mimetype": "text/x-python",
      "name": "python",
      "nbconvert_exporter": "python",
      "pygments_lexer": "ipython3",
      "version": "3.7.3"
    },
    "colab": {
      "name": "optimization-examples.ipynb",
      "provenance": []
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "biUMdN-tBtzv",
        "colab_type": "text"
      },
      "source": [
        "# Examples of neural reparamterization for structural optimization\n",
        "\n",
        "In [the paper](https://arxiv.org/abs/1909.04240), we run every optimization for 1000 steps and focus on the largest problems. These are pretty slow to run, so to keep this notebook interactive we'll focus on smaller examples trained for fewer steps."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "1V9As20uBtzy",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Install dependencies with pip. Only run this once.\n",
        "! pip install -q tf-nightly git+https://github.com/google-research/neural-structural-optimization.git"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "scrolled": true,
        "id": "9Ulzr6igBtz1",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "# Copyright 2019 Google LLC.\n",
        "#\n",
        "# Licensed under the Apache License, Version 2.0 (the \"License\");\n",
        "# you may not use this file except in compliance with the License.\n",
        "# You may obtain a copy of the License at\n",
        "#\n",
        "#     https://www.apache.org/licenses/LICENSE-2.0\n",
        "#\n",
        "# Unless required by applicable law or agreed to in writing, software\n",
        "# distributed under the License is distributed on an \"AS IS\" BASIS,\n",
        "# WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.\n",
        "# See the License for the specific language governing permissions and\n",
        "# limitations under the License.\n",
        "\n",
        "from IPython import display\n",
        "from PIL import Image\n",
        "import seaborn\n",
        "import matplotlib.pyplot as plt\n",
        "import xarray\n",
        "import pandas as pd\n",
        "\n",
        "from neural_structural_optimization import pipeline_utils\n",
        "from neural_structural_optimization import problems\n",
        "from neural_structural_optimization import models\n",
        "from neural_structural_optimization import topo_api\n",
        "from neural_structural_optimization import train"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "W0XXsq9xBtz4",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def train_all(problem, max_iterations, cnn_kwargs=None):\n",
        "    args = topo_api.specified_task(problem)\n",
        "    if cnn_kwargs is None:\n",
        "        cnn_kwargs = {}\n",
        "\n",
        "    model = models.PixelModel(args=args)\n",
        "    ds_mma = train.method_of_moving_asymptotes(model, max_iterations)\n",
        "\n",
        "    model = models.PixelModel(args=args)\n",
        "    ds_oc = train.optimality_criteria(model, max_iterations)\n",
        "\n",
        "    model = models.PixelModel(args=args)\n",
        "    ds_pix = train.train_lbfgs(model, max_iterations)\n",
        "\n",
        "    model = models.CNNModel(args=args, **cnn_kwargs)\n",
        "    ds_cnn = train.train_lbfgs(model, max_iterations)\n",
        "\n",
        "    dims = pd.Index(['cnn-lbfgs', 'mma', 'oc', 'pixel-lbfgs'], name='model')\n",
        "    return xarray.concat([ds_cnn, ds_mma, ds_oc, ds_pix], dim=dims)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "SXaAw9iqBtz6",
        "colab_type": "text"
      },
      "source": [
        "## MBB Beam (Figure 2 from paper)\n",
        "\n",
        "Note that we tweaked the CNN model slightly original version of the paper, which results in a slightly worse design in this particular case.\n",
        "\n",
        "See the updated figure in our [latest revision](https://openreview.net/forum?id=Bkec3m3q8B) on OpenReview.net."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "br23K2YvBtz7",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 139
        },
        "outputId": "03a523ba-ba65-44f3-8c43-b7b4b8a90c93"
      },
      "source": [
        "problem = problems.mbb_beam(height=20, width=60)\n",
        "max_iterations = 200\n",
        "\n",
        "# can't upscale by exactly 8x for a 60x20 design region, so upscale by\n",
        "# only 4x instead\n",
        "%time ds = train_all(problem, max_iterations, cnn_kwargs=dict(resizes=(1, 1, 2, 2, 1)))"
      ],
      "execution_count": 4,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/autograd/tracer.py:48: RuntimeWarning: overflow encountered in cosh\n",
            "  return f_raw(*args, **kwargs)\n",
            "/usr/local/lib/python3.6/dist-packages/autograd/numpy/numpy_vjps.py:90: RuntimeWarning: overflow encountered in square\n",
            "  defvjp(anp.tanh,   lambda ans, x : lambda g: g / anp.cosh(x) **2)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 1min 30s, sys: 31.4 s, total: 2min 1s\n",
            "Wall time: 1min 18s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Q1BtcderBtz_",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 170
        },
        "outputId": "e2404d7b-c046-45d9-d0ea-1c6a9b12437c"
      },
      "source": [
        "ds"
      ],
      "execution_count": 5,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<xarray.Dataset>\n",
              "Dimensions:  (model: 4, step: 201, x: 60, y: 20)\n",
              "Coordinates:\n",
              "  * step     (step) int64 0 1 2 3 4 5 6 7 8 ... 193 194 195 196 197 198 199 200\n",
              "  * model    (model) object 'cnn-lbfgs' 'mma' 'oc' 'pixel-lbfgs'\n",
              "Dimensions without coordinates: x, y\n",
              "Data variables:\n",
              "    loss     (model, step) float64 1.825e+03 1.245e+03 1.919e+04 ... 237.9 237.9\n",
              "    design   (model, step, y, x) float64 0.6222 0.7423 0.8178 ... 1.0 1.0 1.0"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "F5Sn5Xs9Bt0C",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "45a85216-6193-4ee0-805e-92b1d8ede60a"
      },
      "source": [
        "ds.loss.transpose().to_pandas().cummin().loc[:200].plot(linewidth=2)\n",
        "plt.ylim(215, 260)\n",
        "plt.ylabel('Compliance (loss)')\n",
        "plt.xlabel('Optimization step')\n",
        "seaborn.despine()"
      ],
      "execution_count": 6,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Age7xLzet24vMHq/f0Xi2d16WMzKitC7BWeC98p1XCxzGRKWmplJUVGTBo42p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\ngg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "FFVE-EbGBt0E",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 314
        },
        "outputId": "79ca61f1-fd61-488a-ec86-d56eeffb1cf3"
      },
      "source": [
        "ds.design.sel(step=200).plot.imshow(\n",
        "    col='model', x='x', y='y', size=2, aspect=2.5, col_wrap=2,\n",
        "    yincrease=False, add_colorbar=False, cmap='Greys')"
      ],
      "execution_count": 7,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/plain": [
              "<xarray.plot.facetgrid.FacetGrid at 0x7f196cb21278>"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 7
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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m9vVKtAEAAABAcS1+CVM2jfx8SaMlLVPDLc8+7+5zD/A9XGcF1LEOHTqEec+e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\nAAAAQG4MIAAAAADk9n8BQDJ9LWGMnMEAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 792x288 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "1ck8oBusBt0H",
        "colab_type": "text"
      },
      "source": [
        "If desired, designs can also be converted into `PIL.Image` objects with the `pipeline_utils.image_from_design` utility. This is convenient for exporting single frames or creating GIFs:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LhZ-xshRBt0I",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "def save_gif_movie(images, path, duration=200, loop=0, **kwargs):\n",
        "    images[0].save(path, save_all=True, append_images=images[1:],\n",
        "                   duration=duration, loop=loop, **kwargs)"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "vqEkNnoXBt0K",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "images = [\n",
        "    pipeline_utils.image_from_design(design, problem)\n",
        "    for design in ds.design.sel(model='cnn-lbfgs')[:100]\n",
        "]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0jwHBtLjBt0N",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "save_gif_movie([im.resize((5*120, 5*20)) for im in images], 'movie.gif')"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "tKQiV22oBt0P",
        "colab_type": "text"
      },
      "source": [
        "This produces the following movie of the optimization process:\n",
        "\n",
        "<img src=\"https://github.com/google-research/neural-structural-optimization/raw/master/notebooks/movie.gif\" />"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "hkBlbomqBt0Q",
        "colab_type": "text"
      },
      "source": [
        "## MBB beam with a larger grid"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "aUUzWxyLBt0R",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 139
        },
        "outputId": "a527703e-5cf9-4d53-b0f8-b37534c519df"
      },
      "source": [
        "problem = problems.PROBLEMS_BY_NAME['mbb_beam_192x64_0.4']\n",
        "max_iterations = 100\n",
        "%time ds = train_all(problem, max_iterations)"
      ],
      "execution_count": 11,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/autograd/numpy/numpy_vjps.py:90: RuntimeWarning: overflow encountered in square\n",
            "  defvjp(anp.tanh,   lambda ans, x : lambda g: g / anp.cosh(x) **2)\n",
            "/usr/local/lib/python3.6/dist-packages/autograd/tracer.py:48: RuntimeWarning: overflow encountered in cosh\n",
            "  return f_raw(*args, **kwargs)\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 8min 28s, sys: 4min 14s, total: 12min 43s\n",
            "Wall time: 7min 9s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "cUnI-q4OBt0T",
        "colab_type": "text"
      },
      "source": [
        "Now, the CNN-LBFGS model performs best:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "H4X9knhvBt0U",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 283
        },
        "outputId": "2b0cffc0-2107-49d1-85a2-cb0f361eea85"
      },
      "source": [
        "ds.loss.transpose().to_pandas().cummin().loc[:200].plot(linewidth=2)\n",
        "plt.ylim(230, 330)\n",
        "plt.ylabel('Compliance (loss)')\n",
        "plt.xlabel('Optimization step')\n",
        "seaborn.despine()"
      ],
      "execution_count": 12,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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yHHgXyAI6f8q66tLQjKGkuFI42HyQxrZGivPSAdhV7cOVmUHht78FwIG7f02o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\nHqteMDl/MnNHzKU50MyfNv2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h16p4II4Y/3pJN6uc19Epqf8r9D9LDlHScCTt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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "D4z-3U8ZBt0X",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 314
        },
        "outputId": "8f2fb476-521c-4945-8622-871ebcb6e1f9"
      },
      "source": [
        "# the pixel-lbfgs does not run for the full 100 steps (it terminates\n",
        "# early due to reaching a local minima), so use fill() to forward fill\n",
        "# to the last valid design.\n",
        "ds.design.ffill('step').sel(step=100).plot.imshow(\n",
        "    col='model', x='x', y='y', size=2, aspect=2.5, col_wrap=2,\n",
        "    yincrease=False, add_colorbar=False, cmap='Greys')\n",
        "plt.suptitle(problem.name, y=1.02);"
      ],
      "execution_count": 13,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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kWMkMNabWRGHkAVb99BUrVsQJg5I1yftcz16ktqYt53Z5HUeOHAkkVZdefvll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\nCcccx3Ecx3Ecx6lqvBN1lZM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VvmSsKbeqlhpKSvKm5nF77713LK3WuSNZcS3PUzrnN2zY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\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 792x288 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "AZdtwoweBt0Z",
        "colab_type": "text"
      },
      "source": [
        "## Multistory building"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "wS1xDqP-Bt0a",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        },
        "outputId": "a05d7654-1625-4885-f862-0f77c6a95421"
      },
      "source": [
        "problem = problems.PROBLEMS_BY_NAME['multistory_building_64x128_0.4']\n",
        "max_iterations = 100  # keep things fast\n",
        "%time ds = train_all(problem, max_iterations)"
      ],
      "execution_count": 14,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 5min 46s, sys: 2min 57s, total: 8min 44s\n",
            "Wall time: 4min 53s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "jUZiz4YNBt0d",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 308
        },
        "outputId": "09317eb6-552d-4a64-8ae0-04268afb3829"
      },
      "source": [
        "ds.loss.transpose().to_pandas().cummin().loc[:100].plot(linewidth=2)\n",
        "plt.ylim(40, 100)\n",
        "plt.ylabel('Compliance (loss)')\n",
        "plt.xlabel('Optimization step')\n",
        "seaborn.despine()\n",
        "plt.suptitle(problem.name);"
      ],
      "execution_count": 15,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Gg5/bbruNK664gkmTJpGQkMCTT1qLl956661ccsklTJgwgWOPPZYhQ4YAMH78eBYtWsTJ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\nSUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "6gVPgvf8Bt0f",
        "colab_type": "text"
      },
      "source": [
        "For fun, we'll examine designs at different time-steps."
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "ChaqmfUzBt0g",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 608
        },
        "outputId": "afcc1541-a09b-4b56-ee2a-de4b30ec20aa"
      },
      "source": [
        "ds.design.sel(step=[0, 1, 2, 5, 10, 20, 50, 100]).plot.imshow(\n",
        "    row='model', col='step', x='x', y='y', size=2, aspect=0.5,\n",
        "    yincrease=False, add_colorbar=False, cmap='Greys')\n",
        "plt.subplots_adjust(wspace=0.1, hspace=0.05)\n",
        "plt.suptitle(problem.name, y=1.02);"
      ],
      "execution_count": 16,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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YHBxEf3//vHby+Xzo6urCQw89hLNnz2JsbAyZTMYompyveN8TExM4e/YsQqEQ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\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efPFFHnroIVWcyNm5L730kjo6TXrCAF588cWsgiYdUujAcpFDd3c3L730EgCvvfYafr+f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\nEARBEARhGfL/AR00qScSgHMkAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 648x576 with 32 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "BsIURyi9Bt0j",
        "colab_type": "text"
      },
      "source": [
        "## Thin support bridge"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "3yx773hnBt0j",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 105
        },
        "outputId": "bfc58b39-9496-4805-d9b9-9cb5bbaf6bab"
      },
      "source": [
        "# we really need more iterations to see the CNN-LBFGS method dominate\n",
        "problem = problems.PROBLEMS_BY_NAME['thin_support_bridge_128x128_0.2']\n",
        "max_iterations = 200\n",
        "%time ds = train_all(problem, max_iterations)"
      ],
      "execution_count": 17,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "/usr/local/lib/python3.6/dist-packages/neural_structural_optimization/autograd_lib.py:102: RuntimeWarning: divide by zero encountered in true_divide\n",
            "  weights = 1 / raw_filters.sum(axis=0).squeeze()\n"
          ],
          "name": "stderr"
        },
        {
          "output_type": "stream",
          "text": [
            "CPU times: user 26min 12s, sys: 12min 43s, total: 38min 55s\n",
            "Wall time: 21min 39s\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "OX0spOAjBt0o",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 308
        },
        "outputId": "c38ee824-0c91-4a19-bfc7-27f1acbbc654"
      },
      "source": [
        "ds.loss.transpose().to_pandas().cummin().plot(linewidth=2)\n",
        "plt.ylim(70, 120)\n",
        "plt.ylabel('Compliance (loss)')\n",
        "plt.xlabel('Optimization step')\n",
        "seaborn.despine()\n",
        "plt.suptitle(problem.name);"
      ],
      "execution_count": 18,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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7WLyxBQsPFUVpNe655x5Wr15NZmYmd9xxB3PnzgXg7rvv5uOPP2bMmDG8/vrr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\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LE83EmYcBt0s",
        "colab_type": "code",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 387
        },
        "outputId": "30f57b13-85e5-478a-f44f-d5ddf3a9ca6e"
      },
      "source": [
        "(xarray.concat([ds.design, ds.design.sel(x=slice(None, None, -1))] * 2, dim='x')\n",
        " .sel(step=200)\n",
        " .plot.imshow(\n",
        "    col='model', x='x', y='y', size=2.5, aspect=2, col_wrap=2,\n",
        "    yincrease=False, add_colorbar=False, cmap='Greys'))\n",
        "plt.suptitle(problem.name, y=1.02);"
      ],
      "execution_count": 19,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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4OJiYmBjmzp1LXl4eVquVoKAgwOOZVupRIhQhISEMDw/T39+vdiqKF9pgMOBy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\n",
            "text/plain": [
              "<Figure size 792x360 with 4 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    }
  ]
}
